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Finding the Third Proportional to 37,208.53 and 81,825.19

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Solution

The third proportional to 37,208.53 and 81,825.19 is: 179,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,208.53 : 81,825.19 = 81,825.19 : x
  2. Step 2: Convert to fraction form
    37,208.53/81,825.19 = 81,825.19/x
  3. Step 3: Cross multiply
    37,208.53x = 81,825.19 × 81,825.19
  4. Step 4: Simplify right side
    37,208.53x = 6,695,361,309.41
  5. Step 5: Solve for x
    x = 6,695,361,309.41/37,208.53
  6. Step 6: Final answer
    x = 179,941.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.